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Specifically, we derive an upper bound on the coverage of flooding when the number of nodes n in the network goes to infinity.
The asymptotic behavior of the upper bound on the coverage is derived in Section 'Asymptotic analysis' along with a discussion on the obtained results.
A widespread regulation in the private health insurance industry is the existence of a minimum standard, which puts a lower bound on the coverage that can be offered to agents in different services.
Such simplification ensures upper bound condition and U ¯ n ( x ) is replaced by the right side of inequality in (16) as the new upper bound on the coverage function.
Previous related studies in[9 11] proposed a tight upper bound on the coverage of flooding in a multi-hop network using carrier sense multiple access (CSMA) as the MAC layer strategy for any finite network size.
Similar(54)
Let U ¯ h ( x ) denote the upper bound on u ¯ h ( x ), i.e., we have u ¯ h ( x ) ≤ U ¯ h ( x ) ∀h > 0 and ∀ x ∈ R. Therefore, the upper bound on the network coverage denoted by C ¯ is obtained as C ¯ = lim h → ∞ C ¯ h = lim h → ∞ ∫ R U ¯ h ( x ) μ ( d x ) 4 Π, (8).
As a benchmark value an upper bound on the possible coverage, assuming that an ambulance is located at every location (i.e. p = ∣ W∣), is given in the column headed by C ¯. Please note that the value of the objective function (F) is made up by several components.
Table 1 Upper bound on the number of sensors for guaranteeing full coverage with probability.
For example, for probability of full coverage equal to, we found for various values of It can be inferred that (6) provides a tight upper bound on the number of nodes needed for full path coverage.
This is used to determine a tight bound on the number of active sensors assuring the full path coverage with a desired reliability.
We demonstrated that quality requirements on the final proteome map impose an upper bound on the number of useful experiment repetitions and limit the achievable proteome coverage.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com